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arXiv · 2504.15383

Bounded Generation for $SL_n(\Lambda)$

Nir Avni·Chen Meiri
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Abstract

Let $\Lambda$ be an order in a division algebra over a number field. We prove, under some conditions, that $SL_3(\Lambda)$ is boundedly generated by elementary matrices.

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Nir Avni, Chen Meiri. 2025-04-21. Bounded Generation for $SL_n(\Lambda)$. https://arxiv.org/abs/2504.15383

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